Lee dies you really need to tighten the decap pin down tight. The top of the pin should be level with the top of the screw when you tighten it. Don't know what press you are using but why clean, then sizing and depriming and then checking primer pockets? Sounds like you are on a single stage press. If you want to do it that way just get the Lee universal depriming die ( really cheap), clean brass, inspect after cleaning and if you must, clean primer pockets then. I personally don't clean primer pockets.
I use universal deprimer, clean all brass of one caliber only, inspect all including primer pocket and punch out media if present, since cleaning media has some Cabela's shine stuff added I don't do additional lube, carbide resize and prime, then powder die (Lee Auto Drum-very accurate), bullet seat die, factory crimp die. When you start doing 45 ACP this method works very well in separating your small - large primer cases.